Landscape




$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =





Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#TheorySuperpotentialCentral charge $a$Central charge $c$Ratio $a/c$Matter field: $R$-chargeU(1) part of $F_{UV}$Rank of $F_{UV}$Rational
1992 SU2adj1nf2 ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ 0.6674 0.8457 0.7891 [M:[1.18, 0.7534, 0.82, 0.82, 0.82, 0.7201], q:[0.8033, 0.4433], qb:[0.3767, 0.8033], phi:[0.3933]] [M:[[-6], [-14], [6], [6], [6], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ -1 t^2.16 + t^2.26 + t^2.36 + 3*t^2.46 + t^3.44 + t^3.64 + t^3.74 + t^4.32 + t^4.42 + 2*t^4.52 + 4*t^4.62 + 4*t^4.72 + 4*t^4.82 + 6*t^4.92 + t^5.6 + t^5.7 + t^5.8 + 3*t^5.9 - t^6. + 2*t^6.1 + 2*t^6.2 + t^6.481 + t^6.581 + 2*t^6.681 + 5*t^6.78 + 6*t^6.88 + 7*t^6.98 + 9*t^7.08 + 7*t^7.18 + 5*t^7.28 + 8*t^7.38 + t^7.761 + t^7.861 + 2*t^7.96 + 3*t^8.06 + t^8.16 - t^8.26 + t^8.36 - 6*t^8.46 + t^8.56 + t^8.641 + 2*t^8.66 + t^8.741 + 2*t^8.841 + 5*t^8.941 - t^4.18/y - t^6.34/y - t^6.44/y - t^6.54/y - (2*t^6.64)/y + t^7.42/y + t^7.52/y + (4*t^7.62)/y + (5*t^7.72)/y + (4*t^7.82)/y + (4*t^7.92)/y + t^8.02/y - t^8.501/y - t^8.7/y - t^8.8/y + (2*t^8.9)/y - t^4.18*y - t^6.34*y - t^6.44*y - t^6.54*y - 2*t^6.64*y + t^7.42*y + t^7.52*y + 4*t^7.62*y + 5*t^7.72*y + 4*t^7.82*y + 4*t^7.92*y + t^8.02*y - t^8.501*y - t^8.7*y - t^8.8*y + 2*t^8.9*y t^2.16/g1^24 + t^2.26/g1^14 + t^2.36/g1^4 + 3*g1^6*t^2.46 + t^3.44/g1^16 + g1^4*t^3.64 + g1^14*t^3.74 + t^4.32/g1^48 + t^4.42/g1^38 + (2*t^4.52)/g1^28 + (4*t^4.62)/g1^18 + (4*t^4.72)/g1^8 + 4*g1^2*t^4.82 + 6*g1^12*t^4.92 + t^5.6/g1^40 + t^5.7/g1^30 + t^5.8/g1^20 + (3*t^5.9)/g1^10 - t^6. + 2*g1^10*t^6.1 + 2*g1^20*t^6.2 + t^6.481/g1^72 + t^6.581/g1^62 + (2*t^6.681)/g1^52 + (5*t^6.78)/g1^42 + (6*t^6.88)/g1^32 + (7*t^6.98)/g1^22 + (9*t^7.08)/g1^12 + (7*t^7.18)/g1^2 + 5*g1^8*t^7.28 + 8*g1^18*t^7.38 + t^7.761/g1^64 + t^7.861/g1^54 + (2*t^7.96)/g1^44 + (3*t^8.06)/g1^34 + t^8.16/g1^24 - t^8.26/g1^14 + t^8.36/g1^4 - 6*g1^6*t^8.46 + g1^16*t^8.56 + t^8.641/g1^96 + 2*g1^26*t^8.66 + t^8.741/g1^86 + (2*t^8.841)/g1^76 + (5*t^8.941)/g1^66 - t^4.18/(g1^2*y) - t^6.34/(g1^26*y) - t^6.44/(g1^16*y) - t^6.54/(g1^6*y) - (2*g1^4*t^6.64)/y + t^7.42/(g1^38*y) + t^7.52/(g1^28*y) + (4*t^7.62)/(g1^18*y) + (5*t^7.72)/(g1^8*y) + (4*g1^2*t^7.82)/y + (4*g1^12*t^7.92)/y + (g1^22*t^8.02)/y - t^8.501/(g1^50*y) - t^8.7/(g1^30*y) - t^8.8/(g1^20*y) + (2*t^8.9)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.34*y)/g1^26 - (t^6.44*y)/g1^16 - (t^6.54*y)/g1^6 - 2*g1^4*t^6.64*y + (t^7.42*y)/g1^38 + (t^7.52*y)/g1^28 + (4*t^7.62*y)/g1^18 + (5*t^7.72*y)/g1^8 + 4*g1^2*t^7.82*y + 4*g1^12*t^7.92*y + g1^22*t^8.02*y - (t^8.501*y)/g1^50 - (t^8.7*y)/g1^30 - (t^8.8*y)/g1^20 + (2*t^8.9*y)/g1^10


Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#SuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
3046 ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{6}$ 0.5989 0.7634 0.7846 [M:[1.2632, 0.9474, 0.7368, 0.7368, 0.7368, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] 3*t^2.211 + t^2.526 + t^2.842 + 2*t^3.158 + t^3.474 + t^4.105 + 6*t^4.421 + 4*t^4.737 + 4*t^5.053 + 6*t^5.368 + 4*t^5.684 - t^4.263/y - t^4.263*y detail {a: 32865/54872, c: 20945/27436, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 14/19, M6: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19}
3045 ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ 0.6178 0.7845 0.7876 [M:[1.25, 0.9167, 0.75, 0.75, 0.75, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] 3*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + t^4. + 6*t^4.5 + 4*t^4.75 + 4*t^5. + 4*t^5.25 + 4*t^5.5 + 3*t^5.75 - t^4.25/y - t^4.25*y detail {a: 949/1536, c: 1205/1536, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 3/4, M6: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12}


Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational


Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id Theory Superpotential Central Charge $a$ Central Charge $c$ Ratio $a/c$ $R$-charges More Info. Rational


Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
739 SU2adj1nf2 ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ 0.6477 0.8091 0.8005 [M:[1.1874, 0.7706, 0.8126, 0.8126, 0.8126], q:[0.8021, 0.4273], qb:[0.3853, 0.8021], phi:[0.3958]] t^2.312 + t^2.375 + 3*t^2.438 + t^3.499 + t^3.625 + t^3.688 + t^3.751 + t^4.624 + t^4.687 + 4*t^4.75 + 4*t^4.813 + 6*t^4.876 + t^5.811 + 2*t^5.937 - t^6. - t^4.187/y - t^4.187*y detail